Typical trace-distance relaxation concentrates around a mean in open quantum systems, producing typical mixing times separated from worst-case by rare-state bottlenecks that scale logarithmically, linearly, or exponentially depending on the slow modes.
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A hard boundary drives the 1D Mpemba effect for polynomial potentials, not the double-well shape.
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Typical Mixing and Rare-State Bottlenecks in Open Quantum Systems
Typical trace-distance relaxation concentrates around a mean in open quantum systems, producing typical mixing times separated from worst-case by rare-state bottlenecks that scale logarithmically, linearly, or exponentially depending on the slow modes.
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The Mpemba effect likes to hit a wall
A hard boundary drives the 1D Mpemba effect for polynomial potentials, not the double-well shape.